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Finding the Fourth Proportional to 2,191.15, 3,287.27 and 805.24

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Solution

The fourth proportional to 2,191.15, 3,287.27 and 805.24 is: 1,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.15 : 3,287.27 = 805.24 : x
  2. Step 2: Convert to fraction form
    2,191.15/3,287.27 = 805.24/x
  3. Step 3: Cross multiply
    2,191.15x = 3,287.27 × 805.24
  4. Step 4: Simplify right side
    2,191.15x = 2,647,041.29
  5. Step 5: Solve for x
    x = 2,647,041.29/2,191.15
  6. Step 6: Final answer
    x = 1,208.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.